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Finding the Fourth Proportional to 501.55, 692.09 and 302.35

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Solution

The fourth proportional to 501.55, 692.09 and 302.35 is: 417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.55 : 692.09 = 302.35 : x
  2. Step 2: Convert to fraction form
    501.55/692.09 = 302.35/x
  3. Step 3: Cross multiply
    501.55x = 692.09 × 302.35
  4. Step 4: Simplify right side
    501.55x = 209,248.44
  5. Step 5: Solve for x
    x = 209,248.44/501.55
  6. Step 6: Final answer
    x = 417.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.